A Shape-Function Grammar Approach for the Synthesis and Modelling of Pixel-Microstrip-Antennas

Classical microstrip antenna models are either an empirically derived mathematical formula or a full-wave numerical solution. The former type is limited to specific simple geometries, is very fast to compute, and to some extent relates dimensional attributes to electromagnetic properties. On the other hand the latter is applicable to any arbitrary geometrical shape and is very accurate, but is computationally intensive and does not give an explanation of how the device works. In this paper a novel approach to modelling microstrip antennas that address this void is proposed. The model makes use of a coupled shape-function grammar to yield an estimate of the electromagnetic properties of arbitrary shaped microstrip antennas and also relates shape attributes to electromagnetic properties. The model is demonstrated on a pixel microstrip antenna structure in analysis and synthesis.